IDEAS home Printed from https://ideas.repec.org/a/wsi/ijmpcx/v30y2019i04ns0129183119500268.html
   My bibliography  Save this article

Periodic orbit scar in wavepacket propagation

Author

Listed:
  • Mitsuyoshi Tomiya

    (Faculty of Science and Technology, Seikei University, Kichijyoji-Kitamachi 3-3-1, Musashino-shi, Tokyo 180-8633, Japan)

  • Shoichi Sakamoto

    (Faculty of Science and Technology, Seikei University, Kichijyoji-Kitamachi 3-3-1, Musashino-shi, Tokyo 180-8633, Japan)

  • Eric J. Heller

    (Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA)

Abstract

This study analyzed the scar-like localization in the time-average of a time-evolving wavepacket on a desymmetrized stadium billiard. When a wavepacket is launched along the orbits, it emerges on classical unstable periodic orbits as a scar in stationary states. This localization along the periodic orbit is clarified through the semiclassical approximation. It essentially originates from the same mechanism of a scar in stationary states: piling up of the contribution from the classical actions of multiply repeated passes on a primitive periodic orbit. To achieve this, several states are required in the energy range determined by the initial wavepacket.

Suggested Citation

  • Mitsuyoshi Tomiya & Shoichi Sakamoto & Eric J. Heller, 2019. "Periodic orbit scar in wavepacket propagation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 30(04), pages 1-17, April.
    • Handle: RePEc:wsi:ijmpcx:v:30:y:2019:i:04:n:s0129183119500268
    DOI: 10.1142/S0129183119500268
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0129183119500268
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0129183119500268?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:ijmpcx:v:30:y:2019:i:04:n:s0129183119500268. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/ijmpc/ijmpc.shtml .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.